Open charm effects in $e^+e^-\to J/ψη$, $J/ψπ^0$ and $φη_c$

Details Open charm effects in $e^+e^-\to J/ψη$, $J/ψπ^0$ and $φη_c$ Open charm effects in $e^+e^-\to J/ψη$, $J/ψπ^0$ and $φη_c$

2011-03-06

arxiv.org/abs/1103.1095v2

Phys.Rev.D84:014007,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revised version to appear in PRD; An error corrected; Slight changes to the numerical results; Conclusion intact

Scientific paper

10.1103/PhysRevD.84.014007

We propose to study the open charm effects in $e^+ e^-\to J/\psi\eta$, $J/\psi\pi^0$ and $\phi\eta_c$. We show that the exclusive cross section lineshapes of these processes would be strongly affected by the open charm effects. Since the final state light meson productions are through soft gluon radiations, we assume a recognition of this soft process via charmed meson loops at hadronic level. A unique feature among these three reactions is that the $D\bar{D^*}+c.c.$ open channel is located in a relatively isolated energy, i.e. $\sim 3.876$ GeV, which is sufficiently far away from the known charmonia $\psi(3770)$ and $\psi(4040)$. Therefore, the cross section lineshapes of these reactions may provide an opportunity for singling out the open charm effects with relatively well-defined charmonium contributions. In particular, we find that reaction $e^+ e^-\to J/\psi\pi^0$ is sensitive to the open charm $D\bar{D^*}+c.c.$ Due to the dominance of the isospin-0 component at the charmonium energy region, we predict an enhanced model-independent cusp effect between the thresholds of $D^0\bar{D}^0+c.c.$ and $D^+ D^{*-}+c.c.$ This study can also help us to understand the X(3900) enhancement recently observed by Belle Collaboration in $e^+ e^-\to D\bar{D}+c.c.$

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